Non-Abelian Global Strings at Chiral Phase Transition

Abstract

We construct non-Abelian global string solutions in the U(N)_L x U(N)_R linear sigma model. These strings are the most fundamental objects which are expected to form during the chiral phase transitions, because the Abelian eta' string is marginally decomposed into N of them. We point out Nambu-Goldstone modes of CP^{N-1} for breaking of U(N)_V arise around a non-Abelian vortex.

10 pages, 2 figures

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• Color Magnetic Flux Tubes in Dense QCD. II: Effective World-Sheet Theory
• Cosmic strings and their induced non-Gaussianities in the cosmic microwave background
• Domain Walls with Non-Abelian Clouds
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• Non-Abelian Sine-Gordon Solitons: Correspondence between $SU(N)$ Skyrmions and $\mathbb{C}{P}^{N-1}$ Lumps
• Interactions of Non-Abelian Global Strings
• Relations among topological solitons
• Topological Interactions of Non-Abelian Vortices with Quasi-Particles in High Density QCD
• Fractional and semi-local non-Abelian Chern-Simons vortices
• Non-Abelian Global Vortices
• Domain Walls and Vortices in Chiral Symmetry Breaking
• Chiral non-Abelian vortices and their confinement in three flavor dense QCD
• Pion String evolving in a thermal bath
• Non-Abelian vortex in lattice gauge theory
• Dyonic non-Abelian vortex strings in supersymmetric and non-supersymmetric theories: tensions and higher derivative corrections
• SM gauge fields localized on non-Abelian vortices in 6 dimensions
• Chiral non-Abelian domain walls in the Ginzburg-Landau theory